Holomorphic Lefschetz fixed point formula

DOI10.1090/S0002-9904-1973-13336-1zbMath0279.32015MaRDI QIDQ4765396

V. K. Patodi

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Holomorphic mappings and correspondences (32H99) Analytic sheaves and cohomology groups (32C35) Index theory and related fixed-point theorems on manifolds (58J20) Fixed points and coincidences in algebraic topology (55M20)

Related Items

Fixed point formula for holomorphic functions, Equivariant index formulas for orbifolds, A Lefschetz fixed point theorem in gravitational lensing, Atiyah-Bott-Lefschetz formula for elliptic complexes on manifolds with boundary, Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants, The holomorphic Lefschetz formula, Periodic points for area-preserving birational maps of surfaces, The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem, A combinatorial Lefschetz fixed point formula, The mathematical work of V. K. Patodi

Cites Work

• On the Atiyah-Bott formula for isolated fixed points
• A Lefschetz fixed point formula for elliptic complexes. I
• The index of elliptic operators. I
• Curvature and the eigenforms of the Laplace operator
• An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds
• The fixed point theorem of atiyah‐bott via parabolic operators
• De Rham’s integrals and Lefschetz fixed point formula for 𝑑” cohomology